The foundations of statistics
Classic analysis of the subject and the development of personal probability; one of the greatest controversies in modern statistcal thought. New preface and new footnotes to 1954 edition, with a supplementary 180-item annotated bibliography by author. Calculus, probability, statistics and Boolean algebra are recommended.
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Postulates of a personalistic theory of decision End papers
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act f analysis Annals of Mathematical apply basic acts behavior behavioralistic Behrens-Fisher problem bilinear games bility called chapter coin concept conditional conditional probability consequences considered context convex convex set Criterion decision problem defined definition derived act discussion distribution dominates elements equal equivalent example Exercise expected value extension f and g Finetti finite number formal g given gambles hypothesis idea illustrations implies income infinite interpretation interval estimation least likelihood ratio likelihood-ratio test linear logic loss function lottery Mathematical Statistics max L(f maximin minimax rule minimax theory mixed acts n-tuples notion null objectivistic views observation Paperbound particular partition problems personal probability personalistic view possible postulate preference proba probability measure qualitative probability random variables real numbers seems sense sequence situation small world sufficient statistics Suppose sure-thing principle symmetry technical testing Theorem theory of personal tion typically utility verbalistic Wald xr's